Solved: Tangency question It is easily verified that the

Chapter 3, Problem 99

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Tangency question It is easily verified that the graphs of y = 1.1x and y = x have two points of intersection, and the graphs of y = 2x and y = x have no points of intersection. It follows that for some real number 1 6 p 6 2, the graphs of y = px and y = x have exactly one point of intersection. Using analytical and/or graphical methods, determine p and the coordinates of the single point of intersection.

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